Barca captain Messi opened the scoring with a "Panenka" penalty chipped straight down the middle in the 17th minute after Luis Suarez was fouled in the area, putting the home side ahead in the tie after a goalless first leg in France.
Manager Juergen Klopp's leadership is laying the foundations for "something special" at Liverpool, forward Giorginio Wijnaldum has said. Liverpool have started the new Premier League campaign with 10 points from a possible 15 after a 2-1 victory over Chelsea at Stamford Bridge on Friday. The Merseyside club, who won at Arsenal and also beat champions Leicester City 4-1, were held to a 1-1 draw by Tottenham Hotspur at White Hart Lane following their 2-0 defeat by promoted Burnley last month.
Liverpool scored three goals in 12 dramatic first-half minutes, two of them from Emre Can, on their way to a hugely entertaining 4-2 win over Hoffenheim which took them back to the Champions League group stage after a two-season absence on Wednesday.
In another match at the Port of Rotterdam tournament, Feyenoord and Porto drew 0-0.
Images from Sunday's Premier League matches.
Shareholders accepted the takeover of the club by US sports tycoons George Gillett and Tom Hicks.
Liverpool striker Daniel Sturridge has suffered another injury setback after a foot problem picked up in training ruled him out of a return against Girondins Bordeaux in the Europa League
The 32-year-old, who joined Barcelona in 2014, said before the second leg at Anfield that he only had fond memories of his time in England.
Vitaliy Mykolenko's 39th-minute own goal had put Luton ahead before Jack Harrison cheered the Everton faithful with an equaliser in the 55th minute, hammering in a low shot that Luton keeper Tim Krul allowed to let slip through his hands.
It is testament to Steven Gerrard's ability that his Liverpool career will be remembered for heroic acts of willpower that ensured no deficit was irretrievable and no opponent unbeatable, rather than the league title that eluded him.
Liverpool goalkeeper Simon Mignolet saved an early penalty and James Milner's shot was deflected into his own net by Havard Nordtveit for the English Premier League side's second goal in an end-to-end match.
Images from the English Premier League matches played on Saturday.
Manager Juergen Klopp has denied that Liverpool are suffering from fatigue after last weekend's setback at Hull City, and urged fans to get behind the team when Tottenham Hotspur visit Anfield in the Premier League on Saturday.
Images from the Premier League matches played on Saturday.
'The current squad is one in transition, but they have some real talent and are showing a strong sense of togetherness' 'I expect to see them continue to grow and develop over the coming weeks and I wish them and my successor well for the rest of the season'
Liverpool took over at the top of the Premier League table despite being held to a 0-0 draw against Manchester United in a scrappy match on Sunday.
Liverpool had won each of their previous four home leagues games in which they conceded first and 12 minutes later they had turned another match on its head as Roberto Firmino's trickery set up Mane to give the hosts the lead at the second attempt.
English Premier League leaders Liverpool opened up a 22-point gap at the top of the table with second-half goals from Alex Oxlade-Chamberlain, Jordan Henderson and a Mohamed Salah brace giving them a 4-0 home win over Southampton. A rare double from defender Antonio Rudiger earned Chelsea a point in an entertaining 2-2 draw with third-placed Leicester City.
Liverpool striker Mario Balotelli's agent has rejected talks of the player leaving Anfield to return to Italy this month.
'Our intentions were, and still are, to ensure the entire workforce is given as much protection as possible from redundancy and/or loss of earnings during this unprecedented period'
A second-half Peter Crouch header earned Liverpool a 1-0 victory at Girondins Bordeaux.
"The situation is very simple. The club has agreed with another for a deal for Raheem to be transferred and subject to medical that will go through," Rodgers said.
Goalkeeper De Gea was forced to leave the field during Spain's Euro 2020 qualifier against Sweden on Tuesday.
Liverpool forward Sadio Mane has dispatched 300 club jerseys to supporters in his home village of Bambali in Senegal ahead of Saturday's Champions League final against Real Madrid.
Riyad Mahrez scored one and set up another as Leicester City strolled to a 3-0 win over Huddersfield Town in the Premier League on Monday.
A night of wholesale team changes for the 11 Premier League sides in action produced one notable upset with top flight Stoke City losing 2-0 at second-tier Bristol City.
Images from the English Premier League matches played on Saturday
Liverpool opened up a seven-point gap at the top of the English Premier League with a 1-0 win at Brighton & Hove Albion on Saturday, while Arsenal's poor away form continued with a 1-0 defeat at West Ham United.
Liverpool's livewire Sadio Mane scored one goal and played a crucial part in the other as they reclaimed the Premier League's top spot with a scrappy 2-1 win at second bottom Fulham on Sunday.
'If Liverpool bought me then they know how to use me. That's why I came here -- I'll show I can play with my feet too'
Roberto Firmino struck a stoppage-time winner as Liverpool beat Paris St Germain 3-2 at Anfield on Tuesday after Kylian Mbappe looked to have secured a point for the French side in a compelling Champions League Group C clash.
'We love him, not just for the goals he scores, but for many many other things.'
News of all that's transpired on and off the football field
A summary of Sunday's action in the English Premier League.
Liverpool's Champions League aspirations suffered a serious blow when they slipped to a 1-0 defeat away to Wigan Athletic on Monday.
Liverpool survived a late spell of Everton pressure to stretch their record unbeaten run in Merseyside derbies to 17 games
Inter Milan face Barcelona, Tottenham Hotspur and PSV Eindhoven in Group B which features three former European champions.
The brilliance of Chelsea's Eden Hazard ended Liverpool's 100 percent start to the season as Maurizio Sarri's side enjoyed a 2-1 win at Anfield in the League Cup third round on Wednesday.
While the signing of a hard-working player who won two Premier League titles at City in five years since joining from Aston Villa is a coup for Liverpool, it also signifies the start of a squad makeover at City.
Liverpool's hopes of qualifying for the Champions League all but ended.